Title
The Garden Hose Complexity for the Equality Function.
Abstract
The garden hose complexity is a new communication complexity introduced by H. Buhrman, S. Fehr, C. Schaffner and F. Speelman [BFSS13] to analyze position-based cryptography protocols in the quantum setting. We focus on the garden hose complexity of the equality function, and improve on the bounds of O. Margalit and A. Matsliah [MM12] with the help of a new approach and of our handmade simulated annealing based solver. We have also found beautiful symmetries of the solutions that have lead us to develop the notion of garden hose permutation groups. Then, exploiting this new concept, we get even further, although several interesting open problems remain.
Year
DOI
Venue
2013
10.1007/978-3-319-07956-1_11
ALGORITHMIC ASPECTS IN INFORMATION AND MANAGEMENT, AAIM 2014
DocType
Volume
ISSN
Journal
8546
0302-9743
Citations 
PageRank 
References 
4
0.50
4
Authors
4
Name
Order
Citations
PageRank
Well Y. Chiu181.31
Mario Szegedy23358325.80
Chengu Wang3162.14
Yixin Xu4214.46